Massively parallel computation of spatial price equilibrium problems as dynamical systems

Article Abstract:

A dynamic system is implemented in the computation of spatial price equilibrium problems in quantity variables. This approach is a new method for examining the potential behavior of spatial price equilibrium problems. The Euler-type method is the approach proposed in the study. The aims of the study are to give an economic interpretation of the dynamical system underlying the spatial price equilibrium problem and to prove that the Euler method can be used on a massively parallel architecture.

Research

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A massively parallel implementation of a discrete-time algorithm for the computation of dynamic elastic demand traffic problems modelled as projected dynamical systems

Article Abstract:

An analysis of the use of the Euler method in solving the dynamic traffic network model with elastic demands formulated as a projected dynamical system reveals that the method is ideally suited for implementation on a massively parallel architecture. The method resolves the problem at each iteration into subproblems in path flow variables which can all be solved simultaneously and in closed form.

Research and Development in the Physical, Engineering, and Life Sciences, Statistics, Methods, Usage, Algorithms, Statistics (Mathematics), Mathematical statistics, Lagrange equations

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On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system

Article Abstract:

A study is conducted to examine the stability properties of the projected dynamical system recommended for Nagurney, Takayama and Zhang's (1995) spatial price equilibrium problem. Two different methods, the 'monotonicity approach' and the 'regularity approach,' are utilized to investigate questions of stability. The results are discussed.

Analysis, Pricing, Stability

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